On a New Statement of Inverse Problem of Quantum Scattering Theory

Ruben Hayrapetyan

doi:10.1090/fic/025/04

On a New Statement of Inverse Problem of Quantum Scattering Theory

Ruben Hayrapetyan

Kettering University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

A new statement of the inverse quantum scattering problem of finding an interaction potential from the given values of phase shift is proposed. The phase shift is given on a set of closed intervals in (l; k)-plane, satisfying certain geometrical "Staircase Condition". For the numerical solution to this problem a new numerical method is described.

Original language	American English
Title of host publication	American Mathematical Society
DOIs	https://doi.org/10.1090/fic/025/04
State	Published - Aug 20 2000

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Mechanical Engineering

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title = "On a New Statement of Inverse Problem of Quantum Scattering Theory",

abstract = " A new statement of the inverse quantum scattering problem of finding an interaction potential from the given values of phase shift is proposed. The phase shift is given on a set of closed intervals in (l; k)-plane, satisfying certain geometrical {"}Staircase Condition{"}. For the numerical solution to this problem a new numerical method is described. ",

author = "Ruben Hayrapetyan",

note = "A. G. Ramm, Kansas State University, Manhattan, KS, P. N. Shivakumar, University of Manitoba, Winnipeg, MB, Canada and A. V.",

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AB - A new statement of the inverse quantum scattering problem of finding an interaction potential from the given values of phase shift is proposed. The phase shift is given on a set of closed intervals in (l; k)-plane, satisfying certain geometrical "Staircase Condition". For the numerical solution to this problem a new numerical method is described.

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DO - 10.1090/fic/025/04

M3 - Chapter

BT - American Mathematical Society

ER -

On a New Statement of Inverse Problem of Quantum Scattering Theory

Abstract

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